`BookProof.SmCar.car_creat_creat` (i j : Fin n) : creat i ∘ₗ creat j + creat j ∘ₗ creat i = 0

Proved

BookProof.SmCar.car_creat_creat

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmCarAlgebra.

BookProof.SmCar.car_creat_creat (i j : Fin n) : creat i ∘ₗ creat j + creat j ∘ₗ creat i = 0

Formalization note: Lean 4 identifier BookProof.SmCar.car_creat_creat.

Preamble

-- Generated from ChapterSmCarAlgebra.lean — theorem BookProof.SmCar.car_creat_creat
import Mathlib
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterNavierStokesFockSpace
open BookProof.NavierStokesFlow.FockOfFock
open BookProof.SmCar



open Finset

variable {n : ℕ}

Formal statement

theorem BookProof.SmCar.car_creat_creat (i j : Fin n) :
    creat i ∘ₗ creat j + creat j ∘ₗ creat i = 0 := by sorry

View graph